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Finding the Fourth Proportional to 23,861.97, 35,762.09 and 9,806.13

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Solution

The fourth proportional to 23,861.97, 35,762.09 and 9,806.13 is: 14,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.97 : 35,762.09 = 9,806.13 : x
  2. Step 2: Convert to fraction form
    23,861.97/35,762.09 = 9,806.13/x
  3. Step 3: Cross multiply
    23,861.97x = 35,762.09 × 9,806.13
  4. Step 4: Simplify right side
    23,861.97x = 350,687,654.58
  5. Step 5: Solve for x
    x = 350,687,654.58/23,861.97
  6. Step 6: Final answer
    x = 14,696.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.